70 citations · 533 across the 26 of their papers we have counts for
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math-ph2024★ 1 cited
Complex symmetric, self-dual, and Ginibre random matrices: Analytical results for three classes of bulk and edge statistics
Gernot Akemann, Noah Aygün, Mario Kieburg +1
Recently, a conjecture about the local bulk statistics of complex eigenvalues has been made based on numerics. It claims that there are only three universality classes, which have…
cond-mat.stat-mech2024★ 9 cited
Two transitions in complex eigenvalue statistics: Hermiticity and integrability breaking
G. Akemann, F. Balducci, A. Chenu +3
Open quantum systems have complex energy eigenvalues which are expected to follow non-Hermitian random matrix statistics when chaotic, or 2-dimensional (2d) Poisson statistics when…
math-ph2024★ 3 cited
Pfaffian structure of the eigenvector overlap for the symplectic Ginibre ensemble
Gernot Akemann, Sung-Soo Byun, Kohei Noda
We study the integrable structure and scaling limits of the conditioned eigenvector overlap of the symplectic Ginibre ensemble of Gaussian non-Hermitian random matrices with indepe…